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S. 6 Write an equivalent ratio Find the number that makes the ratio equivalent to \( 45: 27 \). \( \square \) - 3 Submit

Ask by Burns Weber. in the United States
Feb 28,2025

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The number that makes the ratio equivalent is 5.

Solución

We are given that the ratio □ : 3 must be equivalent to the ratio 45 : 27. To find the missing number, call it x, set up the proportion:   x/3 = 45/27 Start by simplifying the fraction on the right. Since 45 and 27 are both divisible by 9:   45 ÷ 9 = 5  and  27 ÷ 9 = 3 So, 45/27 simplifies to 5/3. Now, our proportion becomes:   x/3 = 5/3 Since the denominators are the same, the numerators must be equal. Therefore:   x = 5 Thus, the number that makes the ratio equivalent is 5.

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The Deep Dive

To find a number that makes the ratio \( 45 : 27 \) equivalent to another ratio, you can simplify \( 45:27 \) first. If we divide both numbers by 9, we get \( 5:3 \). Now, if we want to find an equivalent ratio involving \( \square \) and 3, we can use the same factor. Since \( 5 \) corresponds to \( \square \) and \( 3 \) corresponds to themselves, the number you're looking for is \( 5 \). Now, let’s have some fun with ratios! Did you know that equivalent ratios are like twins? They may look different, but if you dig a little deeper, you'll find they’re just various ways of expressing the same relationship. Just like everyone has unique hobbies but many share the same favorites, ratios keep things interesting! So, keep exploring those number pairs!

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